814344001 has 2 divisors, whose sum is σ = 814344002. Its totient is φ = 814344000.

The previous prime is 814343963. The next prime is 814344017. The reversal of 814344001 is 100443418.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 743380225 + 70963776 = 27265^2 + 8424^2 .

It is a cyclic number.

It is not a de Polignac number, because 814344001 - 2⁹ = 814343489 is a prime.

It is not a weakly prime, because it can be changed into another prime (814344901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407172000 + 407172001.

It is an arithmetic number, because the mean of its divisors is an integer number (407172001).

Almost surely, 2^814344001 is an apocalyptic number.

It is an amenable number.

814344001 is a deficient number, since it is larger than the sum of its proper divisors (1).

814344001 is an equidigital number, since it uses as much as digits as its factorization.

814344001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 814344001 is about 28536.7132129823. The cubic root of 814344001 is about 933.8331793547.

Adding to 814344001 its reverse (100443418), we get a palindrome (914787419).

The spelling of 814344001 in words is "eight hundred fourteen million, three hundred forty-four thousand, one".